276996983040000 has 720 divisors, whose sum is σ = 1036729859124960. Its totient is φ = 73865779200000.

The previous prime is 276996983039993. The next prime is 276996983040013. The reversal of 276996983040000 is 40389699672.

276996983040000 is a `hidden beast` number, since 2 + 7 + 6 + 99 + 69 + 83 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×276996983040000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 276996983040000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 310594725 + ... + 311485275.

It is an arithmetic number, because the mean of its divisors is an integer number (1439902582118).

Almost surely, 2^{276996983040000} is an apocalyptic number.

276996983040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276996983040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518364929562480).

276996983040000 is an abundant number, since it is smaller than the sum of its proper divisors (759732876084960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

276996983040000 is an frugal number, since it uses more digits than its factorization.

276996983040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890608 (or 890561 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 276996983040000 in words is "two hundred seventy-six trillion, nine hundred ninety-six billion, nine hundred eighty-three million, forty thousand".